m.a. wrote:
> *Okay, so is it true to say that things written in EXTENSION are never
> in formula style but are translated into formulas when we put them
> into INTENSION form? You can see that my difficulty with math
> arises from an inability to master even the simplest definitions.
> marty a.*
It's not that technical. I could define the set of books on my shelf by
giving a list of titles: "The Comprehensible Cosmos", "Set Theory and
It's Philosophy", "Overshoot", "Quintessence". That would be a
definition by extension. Or I could point to them in succession and
say, "That and that and that and that." which would be a definition by
ostension. Or I could just say, "The books on my shelf." which is a
definition by intension. An intensional definition is a descriptive
phrase with an implicit variable, which in logic you might write as: The
set of things x such that x is a book and x is on my shelf.
Brent
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Received on Sat Jun 06 2009 - 17:03:26 PDT